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Generalized Lie Theory in Mathematics, Physics and Beyond (Paperback, Softcover reprint of hardcover 1st ed. 2009) Loot Price: R2,983
Discovery Miles 29 830
Generalized Lie Theory in Mathematics, Physics and Beyond (Paperback, Softcover reprint of hardcover 1st ed. 2009): Sergei D....

Generalized Lie Theory in Mathematics, Physics and Beyond (Paperback, Softcover reprint of hardcover 1st ed. 2009)

Sergei D. Silvestrov, Eugen Paal, Viktor Abramov, Alexander Stolin

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Loot Price R2,983 Discovery Miles 29 830 | Repayment Terms: R280 pm x 12*

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The aim of this book is to extend the understanding of the fundamental role of generalizations of Lie and related non-commutative and non-associative structures in Mathematics and Physics. This is a thematic volume devoted to the interplay between several rapidly exp- ding research ?elds in contemporary Mathematics and Physics, such as generali- tions of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, n- commutative geometry and applications in Physics and beyond. The speci?c ?elds covered by this volume include: * Applications of Lie, non-associative and non-commutative associative structures to generalizations of classical and quantum mechanics and non-linear integrable systems, operadic and group theoretical methods; * Generalizations and quasi-deformations of Lie algebras such as color and super Lie algebras, quasi-Lie algebras, Hom-Lie algebras, in?nite-dimensional Lie algebras of vector ?elds associated to Riemann surfaces, quasi-Lie algebras of Witt type and their central extensions and deformations important for in- grable systems, for conformal ? eld theory and for string theory; * Non-commutative deformation theory, moduli spaces and interplay with n- commutativegeometry,algebraicgeometryandcommutativealgebra,q-deformed differential calculi and extensions of homological methods and structures; * Crossed product algebras and actions of groups and semi-groups, graded rings and algebras, quantum algebras, twisted generalizations of coalgebras and Hopf algebra structures such as Hom-coalgebras, Hom-Hopf algebras, and super Hopf algebras and their applications to bosonisation, parastatistics, parabosonic and parafermionic algebras, orthoalgebas and root systems in quantum mechanics;

General

Imprint: Springer-Verlag
Country of origin: Germany
Release date: October 2010
First published: 2009
Editors: Sergei D. Silvestrov • Eugen Paal • Viktor Abramov • Alexander Stolin
Dimensions: 235 x 155 x 17mm (L x W x T)
Format: Paperback
Pages: 306
Edition: Softcover reprint of hardcover 1st ed. 2009
ISBN-13: 978-3-642-09904-5
Categories: Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Books > Science & Mathematics > Mathematics > Applied mathematics > General
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LSN: 3-642-09904-1
Barcode: 9783642099045

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